Question

A line that passes through the points (-4,10) and (-1,5) can be represent by the equation y=-5/3(x-2). Which equation also represents this line? Check all that apply.

Y=-5/3x-2

Y=-5/3x+10/3

3y=-5+10

3x+15y=30

5x+3y=10

Answer 1

If we distributed through the parenthesis we would have
`y=- (5)/(3)x+ (10)/(3)`. That's choice 2 above. Next thing we could do is to put this into a form that is close to standard form. That means that we lose the denominator of 3 by multiplying everything by 3 to get 3y = -5x + 10, I believe maybe you meant choice 3 to have an x in it. If so, choice 3 works too. Then we will put it into legit standard form and get 5x + 3y = 10, last choice above.